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Title
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The Residually Weakly Primitive Geometries of the Dihedral Groups
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Author
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Dimitri Leemans
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Reference
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Atti Sem. Mat. Fis. Univ. Modena XLVIII(2000), 179-190.
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Math. Reviews
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2001e:05027
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Zentralblatt
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0967.51002
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Abstract
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We classify all geometries on which a dihedral group $D_{2n}$, with $n \geq 2$ an integer, acts residually weakly primitively: for each flag $\cal F$, its stabilizer acts primitively on the elements of some type in the residue $\Gamma_{\cal F}$. It turns out that all the geometries obtained are firm, residually connected and flag-transitive, and all of their rank 2 residues satisfy the intersection property.
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